Dirichlet character χ4675(3656,⋅)\chi_{4675}(3656,\cdot)

• Label: 4675.3656
• Modulus: $4675$
• Conductor: $275$
• Order: $5$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$275$
Order:	$5$
Real:	no
Primitive:	no, induced from $\chi_{275}(81,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4675.x

$\chi_{4675}(511,\cdot)$ $\chi_{4675}(2891,\cdot)$ $\chi_{4675}(3656,\cdot)$ $\chi_{4675}(3996,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	5.5.5719140625.3

Values on generators

$(4302,3401,3301)$ → $(e\left(\frac{2}{5}\right),e\left(\frac{1}{5}\right),1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(3656, a)$	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{5}\right)$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{5}\right)$	$1$